ax-b=dx+c

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Solution for ax-b=dx+c equation: 


Simplifying
ax + -1b = dx + c

Reorder the terms:
ax + -1b = c + dx

Solving
ax + -1b = c + dx

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.
ax + -1b + b = c + b + dx

Combine like terms: -1b + b = 0
ax + 0 = c + b + dx
ax = c + b + dx

Reorder the terms:
ax = b + c + dx

Divide each side by 'x'.
a = bx-1 + cx-1 + d

Simplifying
a = bx-1 + cx-1 + d

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